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4.16. Derive the differential equation of motion of the damped single degree of freedom mass-spring system shown in Fig. P4.2. Obtain the steady state solution and the amplitude of the force transmitted to the base. For this system, let m = 3kg, ki = k2 = 1350 N/m, c = 40 N · s/m, and y = 0.04 sin 15t. The initial conditions are xo = 5mm and io = 0. Determine the displacement, velocity, and acceleration of the mass after time t = 1s. Determine also the steady state amplitude of the force transmitted to the base.

4.16. Derive the differential equation of motion of the damped single degree of freedom mass-spring system shown in Fig. P4.2. Obtain the steady state solution and the amplitude of the force transmitted to the base. For this system, let m = 3kg, ki = k2 = 1350 N/m, c = 40 N · s/m, and y = 0.04 sin 15t. The initial conditions are xo = 5mm and io = 0. Determine the displacement, velocity, and acceleration of the mass after time t = 1s. Determine also the steady state amplitude of the force transmitted to the base.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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4.16. Derive the differential equation of motion of the damped single degree of freedom mass-spring system shown in Fig. P4.2. Obtain the steady state solution and the amplitude of the force transmitted to the base. For this system, let m = 3kg, ki = k2 = 1350 N/m, c = 40 N · s/m, and y = 0.04 sin 15t. The initial conditions are xo = 5 mm and io = 0. Determine the displacement, velocity, and acceleration of the mass after time 1 = 1s. Determine also the steady state amplitude of the force transmitted to the base. k2 y = Y, sin m,t m Fig. P4.2
Transcribed Image Text:4.16. Derive the differential equation of motion of the damped single degree of freedom mass-spring system shown in Fig. P4.2. Obtain the steady state solution and the amplitude of the force transmitted to the base. For this system, let m = 3kg, ki = k2 = 1350 N/m, c = 40 N · s/m, and y = 0.04 sin 15t. The initial conditions are xo = 5 mm and io = 0. Determine the displacement, velocity, and acceleration of the mass after time 1 = 1s. Determine also the steady state amplitude of the force transmitted to the base. k2 y = Y, sin m,t m Fig. P4.2
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